Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______

Answer:

Put the values into the formula....let me know if you need help....

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Sum of the first 9 terms = 9/2 (2a + 8d)

Sum of the first 11 terms = 11/2 (2a + 10d)

S9 = S11

9a + 36d = 11a + 55d

2a = -19d

2a + 19d = 0...........(1)

S20 = 20/2 (2a + 19d)

= 20/2 (0) . .. ............from (1)

S20 = 0

Answer:

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Step-by-step explanation:

For Ash's Train;

Distance travelled d1 = 80km

Time taken t1 = 50 minutes = 5/6 hour

Average speed = distance travelled/time taken

v1 = d1/t1

Substituting the values;

v1 = 80/(5/6)

v1 = 96km/h

For Misty's train;

Total distance travelled d2 = 160 km

Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes

t2 = 2.5 hours

v2 = d2/t2 = 160/2.5

v2 = 64 km/h

the difference, in km/h, between the average speed of their trains is;

∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Answer:

32km/h

Step-by-step explanation:

Answer:

Slope = [tex]-\frac{3}{4}[/tex]

y-intercept = 2

Equation of the line 't': [tex]y=-\frac{3}{4}x+2[/tex]

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is represented by,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since line 't' is passing through two points (0, 2) and (8, -4),

Slope of the line 't' = [tex]\frac{2+4}{0-8}[/tex]

                           m = [tex]-\frac{6}{8}[/tex]

                           m = [tex]-\frac{3}{4}[/tex]

Since y-intercept of a line is the value of 'y' for x = 0 [from point (0, 2) lying on this line]

Therefore, Y-intercept of line 't' = 2

Slope intercept of an equation is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line 't' will be,

[tex]y=-\frac{3}{4}x+2[/tex]

Answer:

1. 343^2/3 = 49

2. (2197^1/3)² = 169

3. 729^2/3 = 81

4. (1000²)^1/3 = 100

5. (³√9261)² = 441

6. ³√216² = 36

Hope this helps.

Answer:

4x + 6

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] + [tex]\frac{3}{x+1}[/tex]

Before we can add the fractions we require them to have a common denominator.

Factor the denominator of the first fraction

[tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3}{x+1}[/tex]

Multiply the numerator / denominator of the second fraction by (x + 2)

= [tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3(x+2)}{(x+1)(x+2)}[/tex] ← fractions now have a common denominator

Add the numerators leaving the denominators

= [tex]\frac{x+3(x+2)}{(x+1)(x+2)}[/tex]

= [tex]\frac{x+3x+6}{(x+1)(x+2)}[/tex]

= [tex]\frac{4x+6}{(x+1)(x+2)}[/tex] ← simplified sum with numerator 4x + 6

Answer: x + 12.7 = -25.2 ✓given

x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality

x + 0 = -37.9 ✓ Additive inverse and simplification

x = -37.9 ✓ Identity property

Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?

Answer:

Step-by-step explanation:

I THINK IT C

Answer:

.45

$0.45

45%

45/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]4x^2-16x-9.\\Writ -16x - as -a -difference\\ 4x^2 +2x-18x -9 \\Factor -out- common- terms\\2x(2x+1)-9(2x+1)\\ Factor -out (2x+1)\\(2x+1)(2x-9)[/tex]

I Hope It Helps :)

Answer:

[tex] \boxed{\sf (2x - 9)(2x + 1)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies 4 {x}^{2} - 16x - 9 \\ \\ \sf Factor \: the \: quadratic \: 4 {x}^{2} - 16 x - 9. \\ \sf The \: coefficient \: of \: {x}^{2} \: is \: 4 \: and \: the \: constant \\ \sf term \: is \: - 9. \: The \: product \: of \: 4 \: and \: - 9 \: is \\ \sf - 36. \: The \: factors \: of \: - 36 \: which \: sum \: to \\ \sf - 16 \: are \: 2 \: and \: - 18. \\ \sf So, \\ \sf \implies 4 {x}^{2} - (18 - 2)x - 9 \\ \\ \sf \implies 4 {x}^{2} - 18x + 2x - 9 \\ \\ \sf \implies 2x(2x - 9) + 1(2x - 9) \\ \\ \sf Factor \: 2x - 9 \: from \: 2x(2x - 9) + 1(2x - 9) : \\ \sf \implies (2x - 9)(2x + 1)[/tex]

Answer: i hope this helps (answer is down below)

Step-by-step explanation:

Area goes to square meters

speed goes to meters per second

volume goes to cubic centimetres

perimeter goes to meters

Answer:

P = 11/135 = 0.0815

Step-by-step explanation:

we can said that:

So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:

14 + 18 + 21 + 22 + 14 + 16 + 19 = 124

Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:

P = 11/135 = 0.0815

Answer:

0.0815

Step-by-step explanation:

Answer:

160 ounces

Step-by-step explanation:

32 ounces x 5=160  ounces

Answer:

Step-by-step explanation:

Here is your x/y table, a bit more organized:

  x |  3       5       7

  y | -2    -26    -50

The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:

Between the first 2 coordinates (3, -2) and (5, -26):

[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]

Between coordinates 2 and 3 which are (5, -26) and (7, -50):

[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]

The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:

[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:

[tex]y-(-2)=-12(x-3)[/tex] and

y + 2 = -12x + 36 and

y = -12x + 36 - 2 so the equation for the line in slope-intercept form is

y = -12x + 34

Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!

Answer:

hi its  -12 and decreasing.

Answer:

Last option is the correct choice.

Step-by-step explanation:

Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]

Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]

Lines A and B intersect, because their slopes have no relationship.

Best Regards!

Lines A and Line B intersect, because their slopes have no relationship.

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

Line A passes through the points (-8, 5) and (-5, 4)

Let

x₁ = -8, y₁ = 5

x₂ = -5, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m₁ = (4 - 5)/(-5 - (-8))

m₁ = (4 - 5)/(-5 + 8)

m₁ = -1/3

So, the slope of the line A is -1/3

Line B passes through the points (0, 1) and (4, -1).

m₂ = (-1 - 1)/(4 - 0)

m₂ = (-2)/(4)

m₂ = -1/2

So, the slope of the line B is -1/2

Hence, Lines A and Line B intersect, because their slopes have no relationship.

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ2

Answer:

He's wrong, he should have divided both sides by 3

b≤8.66666

Step-by-step explanation:

Answer:

Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?

Step-by-step explanation:

Answer:

y = -5x

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

3 x 44= 132

11 x 12 = 132

Answer:

C)132

Hope this helps

Explanation) LCM(3, 11, 12) = 132

Answer:

x^2 + 2x - 1

Step-by-step explanation:

g(x)=(x+1)2−2 would be a quadratic if you'd write it like this:  g(x)=(x+1)^2−2.

This expands to g(x) = x^2 + 2x + 1 - 2  =  x^2 + 2x - 1

Answer:

[tex]1 - p[/tex]

Step-by-step explanation:

Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that

[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].

So

[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].

But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.

Answer:

D: The median of Box B is greater than the median of Box A.

Step-by-step explanation:

edg2020

The median of Box B is greater than the median of Box A. Then the correct option is D.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The mean is given as the ratio of the sum of the observation and the number of the observation.

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.

The mean of Box A will be

⇒ (32 + 32 + 28 + 28 + 28 + 28 + 25 + 25 + 35 + 32) / 10

⇒ 29.3

The mean of Box B will be

⇒ (48 + 20 + 32 + 20 + 32 + 32 + 40 + 20 + 21 + 28) / 10

⇒ 29.3

The median of Box A will be

⇒ 25

The median of Box B will be

⇒ 30

The median of Box B is greater than the median of Box A.

Then the correct option is D.

More about the mean link is given below.https://brainly.com/question/521501

#SPJ2

Answer:

sequence is 19, 15, 11 ....

so nth term is : -4n+(19+4)

therefore : -4n + 23

Answer:

-4n + 23

Step-by-step explanation:

Answer:

A. 14

Step-by-step explanation:

Since they are congruent, triangle TUV just needs to be flipped around to find the length of UV.

Answer:

14 inches

Step-by-step explanation:

For these problems you just have to flip the image in your head to picture what the image will look like the other way around. If you flip it, you can see it's congruent to RS which measures 14 inches long. Therefore, it's 14 inches long.

Answer:

the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)

Step-by-step explanation:

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11

MEAN(X) = 230 / 11

X = 20.9

B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

Answer:

Hope it helps:) 18j+10

Step-by-step explanation:

(2)(3j+5+6j)

(2)(3j)+(2)(5)+(2)(6j)

6j+10+12j

18j+10

Answer:

b

Step-by-step explanation:

Δ QRP and Δ XRY are similar, thus ratios of corresponding sides are equal, that is

[tex]\frac{XY}{QP}[/tex] = [tex]\frac{RY}{RP}[/tex] , substitute values

[tex]\frac{XY}{4}[/tex] = [tex]\frac{4}{8}[/tex] ( cross- multiply )

8XY = 16 ( divide both sides by 8 )

XY = 2

Answer:

x = 9

Step-by-step explanation:

Step 1: Look at graph

You can see that both ∠B's are the same. Therefore, both side lengths AD and CD are the same

Step 2: Set equations equal to each other

3x = 2x + 9

Step 3: Solve

x = 9

And we have our answer!

Answer:

9

Step-by-step explanation:

Answer:

Brian = 55

Son = 29

Step-by-step explanation:

Let the ages of Brian and his son be

x +26 and x

Given that :

x + x + 26 = 84

2x + 26 = 84

2x = 58

x = 29.

We know that x is the age of Brian's son. so, Brian's age is 29 + 26 = 55

Hope this helps.

Good Luck

Answer:

250 degrees

Step-by-step explanation:

just did it :)